Volume 19, Issue 4 (12-2022)
jor 2022, 19(4): 137-158 |
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Torkashvand V. Structure a Class of Two-Step Methods with Memory for Solving Nonlinear Equations. jor 2022; 19 (4) :137-158
URL: http://jamlu.liau.ac.ir/article-1-2072-en.html
URL: http://jamlu.liau.ac.ir/article-1-2072-en.html
Farhangian University, Shahid Beheshti Higher Education Center, Tehran, Iran
Abstract: (194 Views)
In this paper, we have proposed a family of the two-step with-memory method for solving nonlinear equations. They have two parameters self-accelerator. In the following, by approximating the self-accelerator parameters, a class of new methods with memory is proposed that most effective of which has a convergence order of 6.37, i. e., and improvement in the R-order of convergence is 59.37%. Another advantage of the new methods is that they do not require derivative computation. We have used Steffensen-like methods and have solved nonlinear equations with simple roots with the appropriate initial approximation of roots to show the correctness of the theorems with numerical examples. ر
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